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Finding the Third Proportional to 1,197,000 and 2,562,138

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Solution

The third proportional to 1,197,000 and 2,562,138 is: 5,484,169.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,000 : 2,562,138 = 2,562,138 : x
  2. Step 2: Convert to fraction form
    1,197,000/2,562,138 = 2,562,138/x
  3. Step 3: Cross multiply
    1,197,000x = 2,562,138 × 2,562,138
  4. Step 4: Simplify right side
    1,197,000x = 6,564,551,131,044
  5. Step 5: Solve for x
    x = 6,564,551,131,044/1,197,000
  6. Step 6: Final answer
    x = 5,484,169.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.